The main reason is that the convergence of the two iteration schemes in this paper can easily be implemented by the software of Matlab 7.0, so they can be applied for numerical calculations in practical problems.
It is shown that this property takes a simple form for some classical boundary conditions, so that the calculations in some practical cases are also simplified.
In practical calculation, multiple methods should be used comprehensively, so as to provide a more rational decision-making basis for water resources management.
In practical calculation, considering the error of covariance matrix, the N roots z ^ i nearest to the unit circle can be estimated as the DOAs of the signals.
Compared to the bandwidth ratio curve in Figure 7, the approximate results in Table 3 are a little larger than the real results, but the approximate formula facilitating the calculation is very useful in practical application.
where U S is the signal subspace spanned by eigenvectors corresponding to major eigenvalues of matrix R, U N is the noise subspace spanned by eigenvectors corresponding to small eigenvalues of matrix R. In practical calculation, the received data are finite, so the covariance matrix R can be estimated as R ^ = 1 L ∑ i = 1 L Z t Z H t, (5).
These presented simplifications are simple enough so as to be always includable in the mass transfer calculations, and the zero total flux assumption (equimolar transfer) is never needed for computational reasons in practical calculations.
Some numerical instabilities are identified, although these would not usually be significant in practical calculations.
Although very effective in practical calculations, these "renormalization" techniques remained, in Dirac's view, clever tricks rather than a principled solution to a fundamental problem.
This indicates that, in practical calculations using an eddy-break-up-like model, the propagation characteristics of the calculated mean reacting zones can be significantly affected by the accuracy of the numerical scheme, as well as by the treatment of the boundary conditions.
